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131226256 = 2474797257
BaseRepresentation
bin1111101001001…
…01101010010000
3100010220222120201
413310211222100
5232043220011
621004344544
73152255560
oct764455220
9303828521
10131226256
116808a257
1237b45154
1321257995
14135dcda0
15b7c1cc1
hex7d25a90

131226256 has 80 divisors (see below), whose sum is σ = 300980736. Its totient is φ = 54263808.

The previous prime is 131226253. The next prime is 131226283. The reversal of 131226256 is 652622131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131226253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510480 + ... + 510736.

Almost surely, 2131226256 is an apocalyptic number.

131226256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131226256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150490368).

131226256 is an abundant number, since it is smaller than the sum of its proper divisors (169754480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131226256 is a wasteful number, since it uses less digits than its factorization.

131226256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 131226256 is about 11455.4029174010. The cubic root of 131226256 is about 508.1675310798.

Adding to 131226256 its reverse (652622131), we get a palindrome (783848387).

The spelling of 131226256 in words is "one hundred thirty-one million, two hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 97 112 188 194 257 329 376 388 514 658 679 752 776 1028 1316 1358 1552 1799 2056 2632 2716 3598 4112 4559 5264 5432 7196 9118 10864 12079 14392 18236 24158 24929 28784 31913 36472 48316 49858 63826 72944 84553 96632 99716 127652 169106 174503 193264 199432 255304 338212 349006 398864 510608 676424 698012 1171663 1352848 1396024 2343326 2792048 4686652 8201641 9373304 16403282 18746608 32806564 65613128 131226256